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Finding the Third Proportional to 170,898 and 367,092

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Solution

The third proportional to 170,898 and 367,092 is: 788,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,898 : 367,092 = 367,092 : x
  2. Step 2: Convert to fraction form
    170,898/367,092 = 367,092/x
  3. Step 3: Cross multiply
    170,898x = 367,092 × 367,092
  4. Step 4: Simplify right side
    170,898x = 134,756,536,464
  5. Step 5: Solve for x
    x = 134,756,536,464/170,898
  6. Step 6: Final answer
    x = 788,520.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.